Shubham Gupta

I am currently a Postdoc at Yau Mathematical Sciences Center, Tsinghua University. Before this, I completed my PhD from Imperial College London, supervised by Ari Laptev. For more details check out my CV.

My main field of research is Analysis. I am particularly interested in questions concerning analysis on discrete spaces.

Please feel free to get in touch if you have any questions/comments/suggestions regarding my work! I can be reached via sg1019@tsinghua.edu.cn.

I am currently on the Job market for the positions starting next academic year (2025).

Publications/Preprints

Hardy inequalities for antisymmetric functions, Nonlinear Analysis, arxiv.
(with Stefan Steinerberger) Rearrangement inequalities on the lattice graph, Bull. London Math. Soc, arxiv.
Hardy and Rellich inequality on lattices, Calc. Var. Partial Differential Equations, arxiv.
Symmetrization inequalities on one-dimensional integer lattice, arxiv, submitted.
One-dimensional discrete Hardy and Rellich inequalities on integers, J. Fourier Anal. Appl, arxiv.
Discrete Weighted Hardy inequality in 1-D, J. Math. Anal. Appl, arxiv.

Recent Talks

(2025) 15th ISAAC Congress, Nazarbayev University.

(2025) Analysis and Quantum Information Seminar, Wuhan University.

(2025) Mini Workshop: Hardy Inequalities in Discrete and Continuum Settings, Oberwolfach.

(2025) Analysis and PDE seminar, Stanford University.

(2025) International Congress of Chinese Mathematicians (ICCM), SIMIS, Shanghai.

Miscellaneous